of the cars in a used-parking lot. 2/5 of the cars are gray and 1/3 of the cars are electrically powered vehicles. what fraction of the cars are both electrically powered and gray? Leave your answer in the simplest form
To find the fraction of cars that are both electrically powered and gray, we need to find the intersection of these two groups.
Let's say there are a total of x cars in the parking lot. From the given information, we know that (2/5)x cars are gray and (1/3)x cars are electrically powered.
To find the intersection, we can multiply the fractions: (2/5)x * (1/3)x.
When we simplify this expression, we get (2/15)x^2.
Therefore, the fraction of cars that are both electrically powered and gray is (2/15)x^2 / x = 2/15.
Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.(1 point)
To find the fraction of cars that are both gray and electrically powered, we need to find the intersection of these two groups.
Let's assume there are a total of 100 cars in the used-car lot for simplicity.
Since 2/5 of the cars are gray, we can find the number of gray cars by multiplying 100 (total cars) by (2/5):
Number of gray cars = 100 * (2/5) = 40
Now, we know that 1/3 of the gray cars are electrically powered vehicles. So, we can find the number of gray electric cars by multiplying the number of gray cars by (1/3):
Number of gray electric cars = 40 * (1/3) = 40/3
Finally, we can find the fraction of cars that are both gray and electrically powered by dividing the number of gray electric cars by the total number of cars:
Fraction = Number of gray electric cars / Total number of cars = (40/3) / 100 = 4/30
Therefore, the fraction of cars on the used-car lot that are both gray and electrically powered is 4/30, which can be simplified to 2/15.
To find the fraction of cars that are both electrically powered and gray, we need to multiply the fractions representing the proportion of gray cars and electrically powered cars.
Given:
Proportion of gray cars = 2/5 (2 out of 5 cars)
Proportion of electrically powered cars = 1/3 (1 out of 3 cars)
To find the fraction of cars that are both gray and electrically powered, we multiply the two fractions:
(2/5) * (1/3)
= (2 * 1) / (5 * 3)
= 2/15
Therefore, the fraction of cars that are both electrically powered and gray is 2/15.
To find the fraction of cars that are both electrically powered and gray, we need to determine the common fraction of cars that satisfy both conditions.
First, let's find the fraction of cars that are gray. We are given that 2/5 of the cars are gray.
Next, let's find the fraction of cars that are electrically powered. We are given that 1/3 of the cars are electrically powered.
To determine the fraction of cars that satisfy both conditions, we'll need to find the intersection of these two fractions.
The simplest way to find the intersection of two fractions is by multiplying them together.
So the fraction of cars that are both electrically powered and gray is (2/5) * (1/3).
To multiply fractions, we multiply the numerators together and then the denominators together.
(2/5) * (1/3) = (2 * 1) / (5 * 3) = 2/15
Therefore, the fraction of cars that are both electrically powered and gray is 2/15.